Multiple choice

A paint mixture was formed by mixing exactly 3 colors of paint. By volume, the mixture was x % blue paint, y % green paint, and z % red paint. If exactly 1 gallon of blue paint and 3 gallons of red paint were used, how many gallons of green paint were used? 1. x = y 2. z = 60

  1. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

  2. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

  3. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

  4. EACH statement ALONE is sufficient.

  5. Statements (1) and (2) TOGETHER are NOT sufficient.
Reveal answer Fill a bubble to check yourself
D Correct answer
AI explanation

Statement 1 states that the percentages of blue and green paint are equal, which directly means their volumes are equal. Since 1 gallon of blue paint was used, statement 1 alone guarantees exactly 1 gallon of green paint was used. Statement 2 states that red paint makes up 60 percent of the mixture, so the 3 gallons of red paint used corresponds to 60 percent of the total, making the total volume 5 gallons. Subtracting the known 4 gallons of blue and red paint from this total of 5 gallons reveals exactly 1 gallon of green paint, so statement 2 is also sufficient alone.

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